Which statement is true regarding the angles in the figure below?

A) Angle D is an exterior angle because it shares a side with the triangle.

B) Angle D is an exterior angle because it is not inside the triangle.

C) Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.

D) Angle D is not an exterior angle.

An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

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abidemiokin abidemiokin · Answer 2 · 2022-01-10T12:12:26+01:00

The line that projected out from DF is not parallel to the base DF, hence we can conclude that angle D is not an exterior angle.

From the given triangle, we can see that the line that extends from DF is not parallel to the line DF.

For the outer angle m<D to be an exterior then the line that projects out from DF must be parallel to DF

Since the line that projected out from DF is not parallel to the base DF, hence we can conclude that angle D is not an exterior angle.

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